Finding the Fourth Proportional to 12,965.78, 17,896.74 and 7,589.47

Step by Step Solution

1. Step 1: Write the proportion equation
   12,965.78 : 17,896.74 = 7,589.47 : x
2. Step 2: Convert to fraction form
   12,965.78/17,896.74 = 7,589.47/x
3. Step 3: Cross multiply
   12,965.78x = 17,896.74 × 7,589.47
4. Step 4: Simplify right side
   12,965.78x = 135,826,784.21
5. Step 5: Solve for x
   x = 135,826,784.21/12,965.78
6. Step 6: Final answer
   x = 10,475.79